Linear wave propagation in a cylindrical waveguide in a porous medium with layer containing the hydrate

Abstract

Pressure waves propagating along a cylindrical cavity in a porous medium with hydrate layer are investigated in the linear approximation. Dispersion relations for the basic acoustic mode in a cylindrical cavity in each layer constituting the porous medium are obtained. On the basis of the dispersion relations the coefficients of reflection and transmission through the layer boundaries inside the cavity are calculated. The influence of rock properties, frequency, and length of hydrate layer on the total reflection coefficient from the layer is studied. The obtained results can be used in the interpretation of well data to locate the boundary of layers crossed by the borehole, in particular, layer containing the hydrate.